a. 3/p + q/2 = 6/2p + pq/2p = (6 + pq)/2p
b. 3x/y + (x² + x)/xy = 3x/y + x(x + 1)/xy = 3x/y + (x + 1)/y = (4x + 1)/y
c. (p – 3)/12 + p/3 = (p – 3)/12 + 4p/12 = (5p – 3)/12
d. 4a/b + (x – y)/y = 4ay/by + b(x – y)/by = (4ay + bx – by)/by
e. (x + y)/x + (x – y)/y = y(x + y)/xy + x(x – y)/xy = (xy + y²)/xy + (x² – xy)/xy = (x² + y²)/xy
f. 7b/10 – 3b/10 = 4b/10 = 2b/5
g. 12x/y – 9x/y = 3x/y
h. 2x/y – (4xy – 2)/9y² = 12xy/y² – (4xy – 2)/9y² = (8xy + 2)/9y²
i. (2p – 3)/6q – (q + 4)/9p = 3p(2p – 3)/18pq – 2q(q + 4)/18pq = (6p² – 9p – 2q² – 8q)/18pq
j. (4m + 3)/3mn – (5m – 12)/12n = 4(4m + 3)/12mn – m(5m – 12)/12mn = (16m + 12 – 5m² + 12m)/12mn = (28m – 5m² + 12)/12mn
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a. 3/p + q/2 = 6/2p + pq/2p = (6 + pq)/2p
b. 3x/y + (x² + x)/xy = 3x/y + x(x + 1)/xy = 3x/y + (x + 1)/y = (4x + 1)/y
c. (p – 3)/12 + p/3 = (p – 3)/12 + 4p/12 = (5p – 3)/12
d. 4a/b + (x – y)/y = 4ay/by + b(x – y)/by = (4ay + bx – by)/by
e. (x + y)/x + (x – y)/y = y(x + y)/xy + x(x – y)/xy = (xy + y²)/xy + (x² – xy)/xy = (x² + y²)/xy
f. 7b/10 – 3b/10 = 4b/10 = 2b/5
g. 12x/y – 9x/y = 3x/y
h. 2x/y – (4xy – 2)/9y² = 12xy/y² – (4xy – 2)/9y² = (8xy + 2)/9y²
i. (2p – 3)/6q – (q + 4)/9p = 3p(2p – 3)/18pq – 2q(q + 4)/18pq = (6p² – 9p – 2q² – 8q)/18pq
j. (4m + 3)/3mn – (5m – 12)/12n = 4(4m + 3)/12mn – m(5m – 12)/12mn
= (16m + 12 – 5m² + 12m)/12mn = (28m – 5m² + 12)/12mn